TSTP Solution File: NUM842+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM842+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:26:57 EDT 2022
% Result : Theorem 3.31s 3.74s
% Output : Refutation 3.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM842+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue Jul 5 03:53:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 3.31/3.74 *** allocated 10000 integers for termspace/termends
% 3.31/3.74 *** allocated 10000 integers for clauses
% 3.31/3.74 *** allocated 10000 integers for justifications
% 3.31/3.74 Bliksem 1.12
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Automatic Strategy Selection
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Clauses:
% 3.31/3.74
% 3.31/3.74 { ! greater( vplus( vd353, vd355 ), vplus( vd354, vd356 ) ) }.
% 3.31/3.74 { alpha1, geq( vd355, vd356 ) }.
% 3.31/3.74 { alpha1, greater( vd353, vd354 ) }.
% 3.31/3.74 { ! alpha1, greater( vd355, vd356 ) }.
% 3.31/3.74 { ! alpha1, geq( vd353, vd354 ) }.
% 3.31/3.74 { ! greater( vd355, vd356 ), ! geq( vd353, vd354 ), alpha1 }.
% 3.31/3.74 { ! greater( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T
% 3.31/3.74 ) ) }.
% 3.31/3.74 { ! less( vplus( X, Z ), vplus( Y, Z ) ), less( X, Y ) }.
% 3.31/3.74 { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 3.31/3.74 { ! greater( vplus( X, Z ), vplus( Y, Z ) ), greater( X, Y ) }.
% 3.31/3.74 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 3.31/3.74 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 3.31/3.74 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 3.31/3.74 { greater( vplus( X, Y ), X ) }.
% 3.31/3.74 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 3.31/3.74 { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 3.31/3.74 { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 3.31/3.74 { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 3.31/3.74 { ! leq( X, Y ), geq( Y, X ) }.
% 3.31/3.74 { ! geq( X, Y ), leq( Y, X ) }.
% 3.31/3.74 { ! leq( Y, X ), less( Y, X ), Y = X }.
% 3.31/3.74 { ! less( Y, X ), leq( Y, X ) }.
% 3.31/3.74 { ! Y = X, leq( Y, X ) }.
% 3.31/3.74 { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 3.31/3.74 { ! greater( Y, X ), geq( Y, X ) }.
% 3.31/3.74 { ! Y = X, geq( Y, X ) }.
% 3.31/3.74 { ! less( X, Y ), greater( Y, X ) }.
% 3.31/3.74 { ! greater( X, Y ), less( Y, X ) }.
% 3.31/3.74 { X = Y, greater( X, Y ), less( X, Y ) }.
% 3.31/3.74 { ! X = Y, ! less( X, Y ) }.
% 3.31/3.74 { ! greater( X, Y ), ! less( X, Y ) }.
% 3.31/3.74 { ! X = Y, ! greater( X, Y ) }.
% 3.31/3.74 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 3.31/3.74 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 3.31/3.74 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 3.31/3.74 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 3.31/3.74 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 3.31/3.74 { ! X = Y, ! Y = vplus( X, Z ) }.
% 3.31/3.74 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 3.31/3.74 { ! X = Y, ! X = vplus( Y, Z ) }.
% 3.31/3.74 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 3.31/3.74 { ! Y = vplus( X, Y ) }.
% 3.31/3.74 { vplus( Y, X ) = vplus( X, Y ) }.
% 3.31/3.74 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 3.31/3.74 { vplus( v1, X ) = vsucc( X ) }.
% 3.31/3.74 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 3.31/3.74 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 3.31/3.74 { vplus( X, v1 ) = vsucc( X ) }.
% 3.31/3.74 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 3.31/3.74 { ! vsucc( X ) = X }.
% 3.31/3.74 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 3.31/3.74 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 3.31/3.74 { ! vsucc( X ) = v1 }.
% 3.31/3.74
% 3.31/3.74 percentage equality = 0.378641, percentage horn = 0.865385
% 3.31/3.74 This is a problem with some equality
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Options Used:
% 3.31/3.74
% 3.31/3.74 useres = 1
% 3.31/3.74 useparamod = 1
% 3.31/3.74 useeqrefl = 1
% 3.31/3.74 useeqfact = 1
% 3.31/3.74 usefactor = 1
% 3.31/3.74 usesimpsplitting = 0
% 3.31/3.74 usesimpdemod = 5
% 3.31/3.74 usesimpres = 3
% 3.31/3.74
% 3.31/3.74 resimpinuse = 1000
% 3.31/3.74 resimpclauses = 20000
% 3.31/3.74 substype = eqrewr
% 3.31/3.74 backwardsubs = 1
% 3.31/3.74 selectoldest = 5
% 3.31/3.74
% 3.31/3.74 litorderings [0] = split
% 3.31/3.74 litorderings [1] = extend the termordering, first sorting on arguments
% 3.31/3.74
% 3.31/3.74 termordering = kbo
% 3.31/3.74
% 3.31/3.74 litapriori = 0
% 3.31/3.74 termapriori = 1
% 3.31/3.74 litaposteriori = 0
% 3.31/3.74 termaposteriori = 0
% 3.31/3.74 demodaposteriori = 0
% 3.31/3.74 ordereqreflfact = 0
% 3.31/3.74
% 3.31/3.74 litselect = negord
% 3.31/3.74
% 3.31/3.74 maxweight = 15
% 3.31/3.74 maxdepth = 30000
% 3.31/3.74 maxlength = 115
% 3.31/3.74 maxnrvars = 195
% 3.31/3.74 excuselevel = 1
% 3.31/3.74 increasemaxweight = 1
% 3.31/3.74
% 3.31/3.74 maxselected = 10000000
% 3.31/3.74 maxnrclauses = 10000000
% 3.31/3.74
% 3.31/3.74 showgenerated = 0
% 3.31/3.74 showkept = 0
% 3.31/3.74 showselected = 0
% 3.31/3.74 showdeleted = 0
% 3.31/3.74 showresimp = 1
% 3.31/3.74 showstatus = 2000
% 3.31/3.74
% 3.31/3.74 prologoutput = 0
% 3.31/3.74 nrgoals = 5000000
% 3.31/3.74 totalproof = 1
% 3.31/3.74
% 3.31/3.74 Symbols occurring in the translation:
% 3.31/3.74
% 3.31/3.74 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.31/3.74 . [1, 2] (w:1, o:86, a:1, s:1, b:0),
% 3.31/3.74 ! [4, 1] (w:0, o:79, a:1, s:1, b:0),
% 3.31/3.74 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.31/3.74 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.31/3.74 vd353 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 3.31/3.74 vd355 [36, 0] (w:1, o:8, a:1, s:1, b:0),
% 3.31/3.74 vplus [37, 2] (w:1, o:110, a:1, s:1, b:0),
% 3.31/3.74 vd354 [38, 0] (w:1, o:7, a:1, s:1, b:0),
% 3.31/3.74 vd356 [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.31/3.74 greater [40, 2] (w:1, o:111, a:1, s:1, b:0),
% 3.31/3.74 geq [41, 2] (w:1, o:112, a:1, s:1, b:0),
% 3.31/3.74 less [49, 2] (w:1, o:113, a:1, s:1, b:0),
% 3.31/3.74 leq [58, 2] (w:1, o:114, a:1, s:1, b:0),
% 3.31/3.74 vsucc [98, 1] (w:1, o:84, a:1, s:1, b:0),
% 3.31/3.74 v1 [100, 0] (w:1, o:77, a:1, s:1, b:0),
% 3.31/3.74 vskolem2 [107, 1] (w:1, o:85, a:1, s:1, b:0),
% 3.31/3.74 alpha1 [114, 0] (w:1, o:78, a:1, s:1, b:1),
% 3.31/3.74 skol1 [115, 2] (w:1, o:115, a:1, s:1, b:1),
% 3.31/3.74 skol2 [116, 2] (w:1, o:116, a:1, s:1, b:1),
% 3.31/3.74 skol3 [117, 2] (w:1, o:117, a:1, s:1, b:1),
% 3.31/3.74 skol4 [118, 2] (w:1, o:118, a:1, s:1, b:1).
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Starting Search:
% 3.31/3.74
% 3.31/3.74 *** allocated 15000 integers for clauses
% 3.31/3.74 *** allocated 22500 integers for clauses
% 3.31/3.74 *** allocated 33750 integers for clauses
% 3.31/3.74 *** allocated 50625 integers for clauses
% 3.31/3.74 *** allocated 15000 integers for termspace/termends
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 *** allocated 75937 integers for clauses
% 3.31/3.74 *** allocated 22500 integers for termspace/termends
% 3.31/3.74 *** allocated 113905 integers for clauses
% 3.31/3.74 *** allocated 33750 integers for termspace/termends
% 3.31/3.74
% 3.31/3.74 Intermediate Status:
% 3.31/3.74 Generated: 4924
% 3.31/3.74 Kept: 2019
% 3.31/3.74 Inuse: 129
% 3.31/3.74 Deleted: 22
% 3.31/3.74 Deletedinuse: 21
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 *** allocated 170857 integers for clauses
% 3.31/3.74 *** allocated 50625 integers for termspace/termends
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 *** allocated 256285 integers for clauses
% 3.31/3.74 *** allocated 75937 integers for termspace/termends
% 3.31/3.74
% 3.31/3.74 Intermediate Status:
% 3.31/3.74 Generated: 10701
% 3.31/3.74 Kept: 4045
% 3.31/3.74 Inuse: 215
% 3.31/3.74 Deleted: 36
% 3.31/3.74 Deletedinuse: 25
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 *** allocated 384427 integers for clauses
% 3.31/3.74 *** allocated 113905 integers for termspace/termends
% 3.31/3.74
% 3.31/3.74 Intermediate Status:
% 3.31/3.74 Generated: 24418
% 3.31/3.74 Kept: 6063
% 3.31/3.74 Inuse: 308
% 3.31/3.74 Deleted: 54
% 3.31/3.74 Deletedinuse: 34
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Intermediate Status:
% 3.31/3.74 Generated: 33686
% 3.31/3.74 Kept: 8085
% 3.31/3.74 Inuse: 388
% 3.31/3.74 Deleted: 148
% 3.31/3.74 Deletedinuse: 34
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 *** allocated 576640 integers for clauses
% 3.31/3.74 *** allocated 170857 integers for termspace/termends
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Intermediate Status:
% 3.31/3.74 Generated: 42249
% 3.31/3.74 Kept: 10122
% 3.31/3.74 Inuse: 456
% 3.31/3.74 Deleted: 152
% 3.31/3.74 Deletedinuse: 35
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Intermediate Status:
% 3.31/3.74 Generated: 49496
% 3.31/3.74 Kept: 12141
% 3.31/3.74 Inuse: 511
% 3.31/3.74 Deleted: 159
% 3.31/3.74 Deletedinuse: 35
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 *** allocated 864960 integers for clauses
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 *** allocated 256285 integers for termspace/termends
% 3.31/3.74
% 3.31/3.74 Intermediate Status:
% 3.31/3.74 Generated: 57887
% 3.31/3.74 Kept: 14150
% 3.31/3.74 Inuse: 579
% 3.31/3.74 Deleted: 168
% 3.31/3.74 Deletedinuse: 35
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Intermediate Status:
% 3.31/3.74 Generated: 71091
% 3.31/3.74 Kept: 16850
% 3.31/3.74 Inuse: 613
% 3.31/3.74 Deleted: 174
% 3.31/3.74 Deletedinuse: 36
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Intermediate Status:
% 3.31/3.74 Generated: 81208
% 3.31/3.74 Kept: 18892
% 3.31/3.74 Inuse: 656
% 3.31/3.74 Deleted: 195
% 3.31/3.74 Deletedinuse: 36
% 3.31/3.74
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 *** allocated 1297440 integers for clauses
% 3.31/3.74 *** allocated 384427 integers for termspace/termends
% 3.31/3.74 Resimplifying inuse:
% 3.31/3.74 Done
% 3.31/3.74
% 3.31/3.74 Resimplifying clauses:
% 3.31/3.74
% 3.31/3.74 Bliksems!, er is een bewijs:
% 3.31/3.74 % SZS status Theorem
% 3.31/3.74 % SZS output start Refutation
% 3.31/3.74
% 3.31/3.74 (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd353, vd355 ), vplus( vd354
% 3.31/3.74 , vd356 ) ) }.
% 3.31/3.74 (1) {G0,W4,D2,L2,V0,M2} I { alpha1, geq( vd355, vd356 ) }.
% 3.31/3.74 (2) {G0,W4,D2,L2,V0,M2} I { alpha1, greater( vd353, vd354 ) }.
% 3.31/3.74 (3) {G0,W4,D2,L2,V0,M2} I { ! alpha1, greater( vd355, vd356 ) }.
% 3.31/3.74 (4) {G0,W4,D2,L2,V0,M2} I { ! alpha1, geq( vd353, vd354 ) }.
% 3.31/3.74 (5) {G0,W7,D2,L3,V0,M3} I { ! greater( vd355, vd356 ), ! geq( vd353, vd354
% 3.31/3.74 ), alpha1 }.
% 3.31/3.74 (6) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! greater( X, Y ), greater
% 3.31/3.74 ( vplus( X, Z ), vplus( Y, T ) ) }.
% 3.31/3.74 (12) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vplus( X, Z ),
% 3.31/3.74 vplus( Y, Z ) ) }.
% 3.31/3.74 (15) {G0,W9,D2,L3,V3,M3} I { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 (19) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 3.31/3.74 (20) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y = X }.
% 3.31/3.74 (24) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 3.31/3.74 (25) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.31/3.74 (26) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X ) }.
% 3.31/3.74 (27) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X ) }.
% 3.31/3.74 (28) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y ) }.
% 3.31/3.74 (29) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! less( X, Y ) }.
% 3.31/3.74 (41) {G0,W7,D3,L1,V2,M1} I { vplus( Y, X ) = vplus( X, Y ) }.
% 3.31/3.74 (54) {G1,W3,D2,L1,V1,M1} Q(29) { ! less( X, X ) }.
% 3.31/3.74 (60) {G1,W3,D2,L1,V0,M1} R(2,4);r(24) { geq( vd353, vd354 ) }.
% 3.31/3.74 (61) {G1,W3,D2,L1,V0,M1} R(1,3);r(24) { geq( vd355, vd356 ) }.
% 3.31/3.74 (62) {G2,W4,D2,L2,V0,M2} S(5);r(60) { ! greater( vd355, vd356 ), alpha1 }.
% 3.31/3.74 (68) {G1,W6,D2,L2,V0,M2} R(6,0) { ! greater( vd355, vd356 ), ! greater(
% 3.31/3.74 vd353, vd354 ) }.
% 3.31/3.74 (198) {G3,W4,D2,L2,V0,M2} R(26,62) { ! less( vd356, vd355 ), alpha1 }.
% 3.31/3.74 (199) {G1,W7,D3,L1,V0,M1} R(26,0) { ! less( vplus( vd354, vd356 ), vplus(
% 3.31/3.74 vd353, vd355 ) ) }.
% 3.31/3.74 (238) {G1,W8,D3,L2,V1,M2} R(12,2) { greater( vplus( vd353, X ), vplus(
% 3.31/3.74 vd354, X ) ), alpha1 }.
% 3.31/3.74 (315) {G2,W6,D2,L2,V2,M2} R(15,54) { ! less( X, Y ), ! leq( Y, X ) }.
% 3.31/3.74 (320) {G3,W6,D2,L2,V2,M2} R(315,27) { ! leq( X, Y ), ! greater( X, Y ) }.
% 3.31/3.74 (373) {G4,W6,D2,L2,V2,M2} R(19,320) { ! geq( X, Y ), ! greater( Y, X ) }.
% 3.31/3.74 (382) {G2,W3,D2,L1,V0,M1} R(19,61) { leq( vd356, vd355 ) }.
% 3.31/3.74 (383) {G2,W3,D2,L1,V0,M1} R(19,60) { leq( vd354, vd353 ) }.
% 3.31/3.74 (424) {G3,W3,D2,L1,V0,M1} R(383,315) { ! less( vd353, vd354 ) }.
% 3.31/3.74 (469) {G4,W4,D2,L2,V0,M2} R(20,198);r(382) { vd356 ==> vd355, alpha1 }.
% 3.31/3.74 (575) {G5,W1,D1,L1,V0,M1} P(469,0);r(238) { alpha1 }.
% 3.31/3.74 (580) {G6,W3,D2,L1,V0,M1} R(575,3) { greater( vd355, vd356 ) }.
% 3.31/3.74 (727) {G7,W7,D3,L1,V1,M1} R(580,12) { greater( vplus( vd355, X ), vplus(
% 3.31/3.74 vd356, X ) ) }.
% 3.31/3.74 (749) {G1,W6,D2,L2,V2,M2} R(28,24);r(25) { less( X, Y ), geq( X, Y ) }.
% 3.31/3.74 (3801) {G7,W3,D2,L1,V0,M1} S(68);r(580) { ! greater( vd353, vd354 ) }.
% 3.31/3.74 (3805) {G8,W3,D2,L1,V0,M1} R(3801,28);r(424) { vd354 ==> vd353 }.
% 3.31/3.74 (13908) {G9,W7,D3,L1,V0,M1} S(199);d(3805) { ! less( vplus( vd353, vd356 )
% 3.31/3.74 , vplus( vd353, vd355 ) ) }.
% 3.31/3.74 (17735) {G8,W7,D3,L1,V1,M1} R(727,373) { ! geq( vplus( vd356, X ), vplus(
% 3.31/3.74 vd355, X ) ) }.
% 3.31/3.74 (18263) {G9,W7,D3,L1,V1,M1} P(41,17735) { ! geq( vplus( X, vd356 ), vplus(
% 3.31/3.74 vd355, X ) ) }.
% 3.31/3.74 (18299) {G10,W7,D3,L1,V1,M1} R(18263,749) { less( vplus( X, vd356 ), vplus
% 3.31/3.74 ( vd355, X ) ) }.
% 3.31/3.74 (18388) {G11,W7,D3,L1,V1,M1} P(41,18299) { less( vplus( X, vd356 ), vplus(
% 3.31/3.74 X, vd355 ) ) }.
% 3.31/3.74 (20125) {G12,W0,D0,L0,V0,M0} S(13908);r(18388) { }.
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 % SZS output end Refutation
% 3.31/3.74 found a proof!
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Unprocessed initial clauses:
% 3.31/3.74
% 3.31/3.74 (20127) {G0,W7,D3,L1,V0,M1} { ! greater( vplus( vd353, vd355 ), vplus(
% 3.31/3.74 vd354, vd356 ) ) }.
% 3.31/3.74 (20128) {G0,W4,D2,L2,V0,M2} { alpha1, geq( vd355, vd356 ) }.
% 3.31/3.74 (20129) {G0,W4,D2,L2,V0,M2} { alpha1, greater( vd353, vd354 ) }.
% 3.31/3.74 (20130) {G0,W4,D2,L2,V0,M2} { ! alpha1, greater( vd355, vd356 ) }.
% 3.31/3.74 (20131) {G0,W4,D2,L2,V0,M2} { ! alpha1, geq( vd353, vd354 ) }.
% 3.31/3.74 (20132) {G0,W7,D2,L3,V0,M3} { ! greater( vd355, vd356 ), ! geq( vd353,
% 3.31/3.74 vd354 ), alpha1 }.
% 3.31/3.74 (20133) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y ),
% 3.31/3.74 greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 3.31/3.74 (20134) {G0,W10,D3,L2,V3,M2} { ! less( vplus( X, Z ), vplus( Y, Z ) ),
% 3.31/3.74 less( X, Y ) }.
% 3.31/3.74 (20135) {G0,W10,D3,L2,V3,M2} { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 3.31/3.74 (20136) {G0,W10,D3,L2,V3,M2} { ! greater( vplus( X, Z ), vplus( Y, Z ) ),
% 3.31/3.74 greater( X, Y ) }.
% 3.31/3.74 (20137) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus
% 3.31/3.74 ( Y, Z ) ) }.
% 3.31/3.74 (20138) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 3.31/3.74 (20139) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 3.31/3.74 vplus( Y, Z ) ) }.
% 3.31/3.74 (20140) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 3.31/3.74 (20141) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 (20142) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 (20143) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 (20144) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 (20145) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 3.31/3.74 (20146) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 3.31/3.74 (20147) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X }.
% 3.31/3.74 (20148) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 3.31/3.74 (20149) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 3.31/3.74 (20150) {G0,W9,D2,L3,V2,M3} { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 3.31/3.74 (20151) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 3.31/3.74 (20152) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 3.31/3.74 (20153) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 3.31/3.74 (20154) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 3.31/3.74 (20155) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 3.31/3.74 (20156) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 3.31/3.74 (20157) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 3.31/3.74 (20158) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 3.31/3.74 (20159) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 3.31/3.74 ) }.
% 3.31/3.74 (20160) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 3.31/3.74 (20161) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X,
% 3.31/3.74 Y ) ) }.
% 3.31/3.74 (20162) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 3.31/3.74 (20163) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 3.31/3.74 vplus( X, skol4( X, Y ) ) }.
% 3.31/3.74 (20164) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 3.31/3.74 (20165) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T )
% 3.31/3.74 }.
% 3.31/3.74 (20166) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 3.31/3.74 (20167) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 3.31/3.74 (20168) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 3.31/3.74 (20169) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 3.31/3.74 (20170) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y
% 3.31/3.74 ) ) }.
% 3.31/3.74 (20171) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 3.31/3.74 (20172) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 3.31/3.74 ( Y, Z ) ) }.
% 3.31/3.74 (20173) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y
% 3.31/3.74 ) ) }.
% 3.31/3.74 (20174) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 3.31/3.74 (20175) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 3.31/3.74 (20176) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 3.31/3.74 (20177) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 3.31/3.74 (20178) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 3.31/3.74 (20179) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Total Proof:
% 3.31/3.74
% 3.31/3.74 subsumption: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd353, vd355 ),
% 3.31/3.74 vplus( vd354, vd356 ) ) }.
% 3.31/3.74 parent0: (20127) {G0,W7,D3,L1,V0,M1} { ! greater( vplus( vd353, vd355 ),
% 3.31/3.74 vplus( vd354, vd356 ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (1) {G0,W4,D2,L2,V0,M2} I { alpha1, geq( vd355, vd356 ) }.
% 3.31/3.74 parent0: (20128) {G0,W4,D2,L2,V0,M2} { alpha1, geq( vd355, vd356 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (2) {G0,W4,D2,L2,V0,M2} I { alpha1, greater( vd353, vd354 )
% 3.31/3.74 }.
% 3.31/3.74 parent0: (20129) {G0,W4,D2,L2,V0,M2} { alpha1, greater( vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (3) {G0,W4,D2,L2,V0,M2} I { ! alpha1, greater( vd355, vd356 )
% 3.31/3.74 }.
% 3.31/3.74 parent0: (20130) {G0,W4,D2,L2,V0,M2} { ! alpha1, greater( vd355, vd356 )
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (4) {G0,W4,D2,L2,V0,M2} I { ! alpha1, geq( vd353, vd354 ) }.
% 3.31/3.74 parent0: (20131) {G0,W4,D2,L2,V0,M2} { ! alpha1, geq( vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (5) {G0,W7,D2,L3,V0,M3} I { ! greater( vd355, vd356 ), ! geq(
% 3.31/3.74 vd353, vd354 ), alpha1 }.
% 3.31/3.74 parent0: (20132) {G0,W7,D2,L3,V0,M3} { ! greater( vd355, vd356 ), ! geq(
% 3.31/3.74 vd353, vd354 ), alpha1 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 2 ==> 2
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (6) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! greater( X,
% 3.31/3.74 Y ), greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 3.31/3.74 parent0: (20133) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y
% 3.31/3.74 ), greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 Z := Z
% 3.31/3.74 T := T
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 2 ==> 2
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (12) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater(
% 3.31/3.74 vplus( X, Z ), vplus( Y, Z ) ) }.
% 3.31/3.74 parent0: (20139) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus
% 3.31/3.74 ( X, Z ), vplus( Y, Z ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 Z := Z
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (15) {G0,W9,D2,L3,V3,M3} I { ! less( Z, Y ), ! leq( X, Z ),
% 3.31/3.74 less( X, Y ) }.
% 3.31/3.74 parent0: (20142) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less
% 3.31/3.74 ( X, Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 Z := Z
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 2 ==> 2
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (19) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 3.31/3.74 parent0: (20146) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (20) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y =
% 3.31/3.74 X }.
% 3.31/3.74 parent0: (20147) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 2 ==> 2
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (24) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X )
% 3.31/3.74 }.
% 3.31/3.74 parent0: (20151) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (25) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.31/3.74 parent0: (20152) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (26) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 3.31/3.74 }.
% 3.31/3.74 parent0: (20153) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (27) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 3.31/3.74 }.
% 3.31/3.74 parent0: (20154) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (28) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X,
% 3.31/3.74 Y ) }.
% 3.31/3.74 parent0: (20155) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y
% 3.31/3.74 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 2 ==> 2
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (29) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! less( X, Y ) }.
% 3.31/3.74 parent0: (20156) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (41) {G0,W7,D3,L1,V2,M1} I { vplus( Y, X ) = vplus( X, Y ) }.
% 3.31/3.74 parent0: (20169) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 eqswap: (20290) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! less( X, Y ) }.
% 3.31/3.74 parent0[0]: (29) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! less( X, Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 eqrefl: (20291) {G0,W3,D2,L1,V1,M1} { ! less( X, X ) }.
% 3.31/3.74 parent0[0]: (20290) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! less( X, Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (54) {G1,W3,D2,L1,V1,M1} Q(29) { ! less( X, X ) }.
% 3.31/3.74 parent0: (20291) {G0,W3,D2,L1,V1,M1} { ! less( X, X ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20292) {G1,W6,D2,L2,V0,M2} { geq( vd353, vd354 ), greater(
% 3.31/3.74 vd353, vd354 ) }.
% 3.31/3.74 parent0[0]: (4) {G0,W4,D2,L2,V0,M2} I { ! alpha1, geq( vd353, vd354 ) }.
% 3.31/3.74 parent1[0]: (2) {G0,W4,D2,L2,V0,M2} I { alpha1, greater( vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20293) {G1,W6,D2,L2,V0,M2} { geq( vd353, vd354 ), geq( vd353
% 3.31/3.74 , vd354 ) }.
% 3.31/3.74 parent0[0]: (24) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 3.31/3.74 parent1[1]: (20292) {G1,W6,D2,L2,V0,M2} { geq( vd353, vd354 ), greater(
% 3.31/3.74 vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := vd354
% 3.31/3.74 Y := vd353
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 factor: (20294) {G1,W3,D2,L1,V0,M1} { geq( vd353, vd354 ) }.
% 3.31/3.74 parent0[0, 1]: (20293) {G1,W6,D2,L2,V0,M2} { geq( vd353, vd354 ), geq(
% 3.31/3.74 vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (60) {G1,W3,D2,L1,V0,M1} R(2,4);r(24) { geq( vd353, vd354 )
% 3.31/3.74 }.
% 3.31/3.74 parent0: (20294) {G1,W3,D2,L1,V0,M1} { geq( vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20295) {G1,W6,D2,L2,V0,M2} { greater( vd355, vd356 ), geq(
% 3.31/3.74 vd355, vd356 ) }.
% 3.31/3.74 parent0[0]: (3) {G0,W4,D2,L2,V0,M2} I { ! alpha1, greater( vd355, vd356 )
% 3.31/3.74 }.
% 3.31/3.74 parent1[0]: (1) {G0,W4,D2,L2,V0,M2} I { alpha1, geq( vd355, vd356 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20296) {G1,W6,D2,L2,V0,M2} { geq( vd355, vd356 ), geq( vd355
% 3.31/3.74 , vd356 ) }.
% 3.31/3.74 parent0[0]: (24) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 3.31/3.74 parent1[0]: (20295) {G1,W6,D2,L2,V0,M2} { greater( vd355, vd356 ), geq(
% 3.31/3.74 vd355, vd356 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := vd356
% 3.31/3.74 Y := vd355
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 factor: (20297) {G1,W3,D2,L1,V0,M1} { geq( vd355, vd356 ) }.
% 3.31/3.74 parent0[0, 1]: (20296) {G1,W6,D2,L2,V0,M2} { geq( vd355, vd356 ), geq(
% 3.31/3.74 vd355, vd356 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (61) {G1,W3,D2,L1,V0,M1} R(1,3);r(24) { geq( vd355, vd356 )
% 3.31/3.74 }.
% 3.31/3.74 parent0: (20297) {G1,W3,D2,L1,V0,M1} { geq( vd355, vd356 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20298) {G1,W4,D2,L2,V0,M2} { ! greater( vd355, vd356 ),
% 3.31/3.74 alpha1 }.
% 3.31/3.74 parent0[1]: (5) {G0,W7,D2,L3,V0,M3} I { ! greater( vd355, vd356 ), ! geq(
% 3.31/3.74 vd353, vd354 ), alpha1 }.
% 3.31/3.74 parent1[0]: (60) {G1,W3,D2,L1,V0,M1} R(2,4);r(24) { geq( vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (62) {G2,W4,D2,L2,V0,M2} S(5);r(60) { ! greater( vd355, vd356
% 3.31/3.74 ), alpha1 }.
% 3.31/3.74 parent0: (20298) {G1,W4,D2,L2,V0,M2} { ! greater( vd355, vd356 ), alpha1
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20299) {G1,W6,D2,L2,V0,M2} { ! greater( vd355, vd356 ), !
% 3.31/3.74 greater( vd353, vd354 ) }.
% 3.31/3.74 parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd353, vd355 ),
% 3.31/3.74 vplus( vd354, vd356 ) ) }.
% 3.31/3.74 parent1[2]: (6) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! greater( X, Y
% 3.31/3.74 ), greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := vd353
% 3.31/3.74 Y := vd354
% 3.31/3.74 Z := vd355
% 3.31/3.74 T := vd356
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (68) {G1,W6,D2,L2,V0,M2} R(6,0) { ! greater( vd355, vd356 ), !
% 3.31/3.74 greater( vd353, vd354 ) }.
% 3.31/3.74 parent0: (20299) {G1,W6,D2,L2,V0,M2} { ! greater( vd355, vd356 ), !
% 3.31/3.74 greater( vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20300) {G1,W4,D2,L2,V0,M2} { alpha1, ! less( vd356, vd355 )
% 3.31/3.74 }.
% 3.31/3.74 parent0[0]: (62) {G2,W4,D2,L2,V0,M2} S(5);r(60) { ! greater( vd355, vd356 )
% 3.31/3.74 , alpha1 }.
% 3.31/3.74 parent1[1]: (26) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := vd356
% 3.31/3.74 Y := vd355
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (198) {G3,W4,D2,L2,V0,M2} R(26,62) { ! less( vd356, vd355 ),
% 3.31/3.74 alpha1 }.
% 3.31/3.74 parent0: (20300) {G1,W4,D2,L2,V0,M2} { alpha1, ! less( vd356, vd355 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 1
% 3.31/3.74 1 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20301) {G1,W7,D3,L1,V0,M1} { ! less( vplus( vd354, vd356 ),
% 3.31/3.74 vplus( vd353, vd355 ) ) }.
% 3.31/3.74 parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd353, vd355 ),
% 3.31/3.74 vplus( vd354, vd356 ) ) }.
% 3.31/3.74 parent1[1]: (26) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := vplus( vd354, vd356 )
% 3.31/3.74 Y := vplus( vd353, vd355 )
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (199) {G1,W7,D3,L1,V0,M1} R(26,0) { ! less( vplus( vd354,
% 3.31/3.74 vd356 ), vplus( vd353, vd355 ) ) }.
% 3.31/3.74 parent0: (20301) {G1,W7,D3,L1,V0,M1} { ! less( vplus( vd354, vd356 ),
% 3.31/3.74 vplus( vd353, vd355 ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20302) {G1,W8,D3,L2,V1,M2} { greater( vplus( vd353, X ),
% 3.31/3.74 vplus( vd354, X ) ), alpha1 }.
% 3.31/3.74 parent0[0]: (12) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vplus
% 3.31/3.74 ( X, Z ), vplus( Y, Z ) ) }.
% 3.31/3.74 parent1[1]: (2) {G0,W4,D2,L2,V0,M2} I { alpha1, greater( vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := vd353
% 3.31/3.74 Y := vd354
% 3.31/3.74 Z := X
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (238) {G1,W8,D3,L2,V1,M2} R(12,2) { greater( vplus( vd353, X )
% 3.31/3.74 , vplus( vd354, X ) ), alpha1 }.
% 3.31/3.74 parent0: (20302) {G1,W8,D3,L2,V1,M2} { greater( vplus( vd353, X ), vplus(
% 3.31/3.74 vd354, X ) ), alpha1 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20303) {G1,W6,D2,L2,V2,M2} { ! less( Y, X ), ! leq( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 parent0[0]: (54) {G1,W3,D2,L1,V1,M1} Q(29) { ! less( X, X ) }.
% 3.31/3.74 parent1[2]: (15) {G0,W9,D2,L3,V3,M3} I { ! less( Z, Y ), ! leq( X, Z ),
% 3.31/3.74 less( X, Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := X
% 3.31/3.74 Y := X
% 3.31/3.74 Z := Y
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (315) {G2,W6,D2,L2,V2,M2} R(15,54) { ! less( X, Y ), ! leq( Y
% 3.31/3.74 , X ) }.
% 3.31/3.74 parent0: (20303) {G1,W6,D2,L2,V2,M2} { ! less( Y, X ), ! leq( X, Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20304) {G1,W6,D2,L2,V2,M2} { ! leq( Y, X ), ! greater( Y, X )
% 3.31/3.74 }.
% 3.31/3.74 parent0[0]: (315) {G2,W6,D2,L2,V2,M2} R(15,54) { ! less( X, Y ), ! leq( Y,
% 3.31/3.74 X ) }.
% 3.31/3.74 parent1[1]: (27) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (320) {G3,W6,D2,L2,V2,M2} R(315,27) { ! leq( X, Y ), ! greater
% 3.31/3.74 ( X, Y ) }.
% 3.31/3.74 parent0: (20304) {G1,W6,D2,L2,V2,M2} { ! leq( Y, X ), ! greater( Y, X )
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20305) {G1,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! geq( Y, X )
% 3.31/3.74 }.
% 3.31/3.74 parent0[0]: (320) {G3,W6,D2,L2,V2,M2} R(315,27) { ! leq( X, Y ), ! greater
% 3.31/3.74 ( X, Y ) }.
% 3.31/3.74 parent1[1]: (19) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (373) {G4,W6,D2,L2,V2,M2} R(19,320) { ! geq( X, Y ), ! greater
% 3.31/3.74 ( Y, X ) }.
% 3.31/3.74 parent0: (20305) {G1,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! geq( Y, X )
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 1
% 3.31/3.74 1 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20306) {G1,W3,D2,L1,V0,M1} { leq( vd356, vd355 ) }.
% 3.31/3.74 parent0[0]: (19) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 3.31/3.74 parent1[0]: (61) {G1,W3,D2,L1,V0,M1} R(1,3);r(24) { geq( vd355, vd356 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := vd355
% 3.31/3.74 Y := vd356
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (382) {G2,W3,D2,L1,V0,M1} R(19,61) { leq( vd356, vd355 ) }.
% 3.31/3.74 parent0: (20306) {G1,W3,D2,L1,V0,M1} { leq( vd356, vd355 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20307) {G1,W3,D2,L1,V0,M1} { leq( vd354, vd353 ) }.
% 3.31/3.74 parent0[0]: (19) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 3.31/3.74 parent1[0]: (60) {G1,W3,D2,L1,V0,M1} R(2,4);r(24) { geq( vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := vd353
% 3.31/3.74 Y := vd354
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (383) {G2,W3,D2,L1,V0,M1} R(19,60) { leq( vd354, vd353 ) }.
% 3.31/3.74 parent0: (20307) {G1,W3,D2,L1,V0,M1} { leq( vd354, vd353 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20308) {G3,W3,D2,L1,V0,M1} { ! less( vd353, vd354 ) }.
% 3.31/3.74 parent0[1]: (315) {G2,W6,D2,L2,V2,M2} R(15,54) { ! less( X, Y ), ! leq( Y,
% 3.31/3.74 X ) }.
% 3.31/3.74 parent1[0]: (383) {G2,W3,D2,L1,V0,M1} R(19,60) { leq( vd354, vd353 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := vd353
% 3.31/3.74 Y := vd354
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (424) {G3,W3,D2,L1,V0,M1} R(383,315) { ! less( vd353, vd354 )
% 3.31/3.74 }.
% 3.31/3.74 parent0: (20308) {G3,W3,D2,L1,V0,M1} { ! less( vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 eqswap: (20309) {G0,W9,D2,L3,V2,M3} { Y = X, ! leq( X, Y ), less( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 parent0[2]: (20) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y = X
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20310) {G1,W7,D2,L3,V0,M3} { alpha1, vd355 = vd356, ! leq(
% 3.31/3.74 vd356, vd355 ) }.
% 3.31/3.74 parent0[0]: (198) {G3,W4,D2,L2,V0,M2} R(26,62) { ! less( vd356, vd355 ),
% 3.31/3.74 alpha1 }.
% 3.31/3.74 parent1[2]: (20309) {G0,W9,D2,L3,V2,M3} { Y = X, ! leq( X, Y ), less( X, Y
% 3.31/3.74 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := vd356
% 3.31/3.74 Y := vd355
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20311) {G2,W4,D2,L2,V0,M2} { alpha1, vd355 = vd356 }.
% 3.31/3.74 parent0[2]: (20310) {G1,W7,D2,L3,V0,M3} { alpha1, vd355 = vd356, ! leq(
% 3.31/3.74 vd356, vd355 ) }.
% 3.31/3.74 parent1[0]: (382) {G2,W3,D2,L1,V0,M1} R(19,61) { leq( vd356, vd355 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 eqswap: (20312) {G2,W4,D2,L2,V0,M2} { vd356 = vd355, alpha1 }.
% 3.31/3.74 parent0[1]: (20311) {G2,W4,D2,L2,V0,M2} { alpha1, vd355 = vd356 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (469) {G4,W4,D2,L2,V0,M2} R(20,198);r(382) { vd356 ==> vd355,
% 3.31/3.74 alpha1 }.
% 3.31/3.74 parent0: (20312) {G2,W4,D2,L2,V0,M2} { vd356 = vd355, alpha1 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 1 ==> 1
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 paramod: (20314) {G1,W8,D3,L2,V0,M2} { ! greater( vplus( vd353, vd355 ),
% 3.31/3.74 vplus( vd354, vd355 ) ), alpha1 }.
% 3.31/3.74 parent0[0]: (469) {G4,W4,D2,L2,V0,M2} R(20,198);r(382) { vd356 ==> vd355,
% 3.31/3.74 alpha1 }.
% 3.31/3.74 parent1[0; 7]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd353, vd355 )
% 3.31/3.74 , vplus( vd354, vd356 ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20315) {G2,W2,D1,L2,V0,M2} { alpha1, alpha1 }.
% 3.31/3.74 parent0[0]: (20314) {G1,W8,D3,L2,V0,M2} { ! greater( vplus( vd353, vd355 )
% 3.31/3.74 , vplus( vd354, vd355 ) ), alpha1 }.
% 3.31/3.74 parent1[0]: (238) {G1,W8,D3,L2,V1,M2} R(12,2) { greater( vplus( vd353, X )
% 3.31/3.74 , vplus( vd354, X ) ), alpha1 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := vd355
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 factor: (20316) {G2,W1,D1,L1,V0,M1} { alpha1 }.
% 3.31/3.74 parent0[0, 1]: (20315) {G2,W2,D1,L2,V0,M2} { alpha1, alpha1 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (575) {G5,W1,D1,L1,V0,M1} P(469,0);r(238) { alpha1 }.
% 3.31/3.74 parent0: (20316) {G2,W1,D1,L1,V0,M1} { alpha1 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20317) {G1,W3,D2,L1,V0,M1} { greater( vd355, vd356 ) }.
% 3.31/3.74 parent0[0]: (3) {G0,W4,D2,L2,V0,M2} I { ! alpha1, greater( vd355, vd356 )
% 3.31/3.74 }.
% 3.31/3.74 parent1[0]: (575) {G5,W1,D1,L1,V0,M1} P(469,0);r(238) { alpha1 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (580) {G6,W3,D2,L1,V0,M1} R(575,3) { greater( vd355, vd356 )
% 3.31/3.74 }.
% 3.31/3.74 parent0: (20317) {G1,W3,D2,L1,V0,M1} { greater( vd355, vd356 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20318) {G1,W7,D3,L1,V1,M1} { greater( vplus( vd355, X ),
% 3.31/3.74 vplus( vd356, X ) ) }.
% 3.31/3.74 parent0[0]: (12) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vplus
% 3.31/3.74 ( X, Z ), vplus( Y, Z ) ) }.
% 3.31/3.74 parent1[0]: (580) {G6,W3,D2,L1,V0,M1} R(575,3) { greater( vd355, vd356 )
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := vd355
% 3.31/3.74 Y := vd356
% 3.31/3.74 Z := X
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (727) {G7,W7,D3,L1,V1,M1} R(580,12) { greater( vplus( vd355, X
% 3.31/3.74 ), vplus( vd356, X ) ) }.
% 3.31/3.74 parent0: (20318) {G1,W7,D3,L1,V1,M1} { greater( vplus( vd355, X ), vplus(
% 3.31/3.74 vd356, X ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 eqswap: (20319) {G0,W9,D2,L3,V2,M3} { Y = X, greater( X, Y ), less( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 parent0[0]: (28) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y
% 3.31/3.74 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 eqswap: (20320) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( X, Y ) }.
% 3.31/3.74 parent0[0]: (25) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20321) {G1,W9,D2,L3,V2,M3} { geq( X, Y ), Y = X, less( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 parent0[0]: (24) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 3.31/3.74 parent1[1]: (20319) {G0,W9,D2,L3,V2,M3} { Y = X, greater( X, Y ), less( X
% 3.31/3.74 , Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20322) {G1,W9,D2,L3,V2,M3} { geq( Y, X ), geq( Y, X ), less(
% 3.31/3.74 Y, X ) }.
% 3.31/3.74 parent0[0]: (20320) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( X, Y ) }.
% 3.31/3.74 parent1[1]: (20321) {G1,W9,D2,L3,V2,M3} { geq( X, Y ), Y = X, less( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 factor: (20323) {G1,W6,D2,L2,V2,M2} { geq( X, Y ), less( X, Y ) }.
% 3.31/3.74 parent0[0, 1]: (20322) {G1,W9,D2,L3,V2,M3} { geq( Y, X ), geq( Y, X ),
% 3.31/3.74 less( Y, X ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := Y
% 3.31/3.74 Y := X
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (749) {G1,W6,D2,L2,V2,M2} R(28,24);r(25) { less( X, Y ), geq(
% 3.31/3.74 X, Y ) }.
% 3.31/3.74 parent0: (20323) {G1,W6,D2,L2,V2,M2} { geq( X, Y ), less( X, Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 1
% 3.31/3.74 1 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20324) {G2,W3,D2,L1,V0,M1} { ! greater( vd353, vd354 ) }.
% 3.31/3.74 parent0[0]: (68) {G1,W6,D2,L2,V0,M2} R(6,0) { ! greater( vd355, vd356 ), !
% 3.31/3.74 greater( vd353, vd354 ) }.
% 3.31/3.74 parent1[0]: (580) {G6,W3,D2,L1,V0,M1} R(575,3) { greater( vd355, vd356 )
% 3.31/3.74 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (3801) {G7,W3,D2,L1,V0,M1} S(68);r(580) { ! greater( vd353,
% 3.31/3.74 vd354 ) }.
% 3.31/3.74 parent0: (20324) {G2,W3,D2,L1,V0,M1} { ! greater( vd353, vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 eqswap: (20325) {G0,W9,D2,L3,V2,M3} { Y = X, greater( X, Y ), less( X, Y )
% 3.31/3.74 }.
% 3.31/3.74 parent0[0]: (28) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y
% 3.31/3.74 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := Y
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20326) {G1,W6,D2,L2,V0,M2} { vd354 = vd353, less( vd353,
% 3.31/3.74 vd354 ) }.
% 3.31/3.74 parent0[0]: (3801) {G7,W3,D2,L1,V0,M1} S(68);r(580) { ! greater( vd353,
% 3.31/3.74 vd354 ) }.
% 3.31/3.74 parent1[1]: (20325) {G0,W9,D2,L3,V2,M3} { Y = X, greater( X, Y ), less( X
% 3.31/3.74 , Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := vd353
% 3.31/3.74 Y := vd354
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20327) {G2,W3,D2,L1,V0,M1} { vd354 = vd353 }.
% 3.31/3.74 parent0[0]: (424) {G3,W3,D2,L1,V0,M1} R(383,315) { ! less( vd353, vd354 )
% 3.31/3.74 }.
% 3.31/3.74 parent1[1]: (20326) {G1,W6,D2,L2,V0,M2} { vd354 = vd353, less( vd353,
% 3.31/3.74 vd354 ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (3805) {G8,W3,D2,L1,V0,M1} R(3801,28);r(424) { vd354 ==> vd353
% 3.31/3.74 }.
% 3.31/3.74 parent0: (20327) {G2,W3,D2,L1,V0,M1} { vd354 = vd353 }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 paramod: (20330) {G2,W7,D3,L1,V0,M1} { ! less( vplus( vd353, vd356 ),
% 3.31/3.74 vplus( vd353, vd355 ) ) }.
% 3.31/3.74 parent0[0]: (3805) {G8,W3,D2,L1,V0,M1} R(3801,28);r(424) { vd354 ==> vd353
% 3.31/3.74 }.
% 3.31/3.74 parent1[0; 3]: (199) {G1,W7,D3,L1,V0,M1} R(26,0) { ! less( vplus( vd354,
% 3.31/3.74 vd356 ), vplus( vd353, vd355 ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (13908) {G9,W7,D3,L1,V0,M1} S(199);d(3805) { ! less( vplus(
% 3.31/3.74 vd353, vd356 ), vplus( vd353, vd355 ) ) }.
% 3.31/3.74 parent0: (20330) {G2,W7,D3,L1,V0,M1} { ! less( vplus( vd353, vd356 ),
% 3.31/3.74 vplus( vd353, vd355 ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20331) {G5,W7,D3,L1,V1,M1} { ! geq( vplus( vd356, X ), vplus
% 3.31/3.74 ( vd355, X ) ) }.
% 3.31/3.74 parent0[1]: (373) {G4,W6,D2,L2,V2,M2} R(19,320) { ! geq( X, Y ), ! greater
% 3.31/3.74 ( Y, X ) }.
% 3.31/3.74 parent1[0]: (727) {G7,W7,D3,L1,V1,M1} R(580,12) { greater( vplus( vd355, X
% 3.31/3.74 ), vplus( vd356, X ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := vplus( vd356, X )
% 3.31/3.74 Y := vplus( vd355, X )
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (17735) {G8,W7,D3,L1,V1,M1} R(727,373) { ! geq( vplus( vd356,
% 3.31/3.74 X ), vplus( vd355, X ) ) }.
% 3.31/3.74 parent0: (20331) {G5,W7,D3,L1,V1,M1} { ! geq( vplus( vd356, X ), vplus(
% 3.31/3.74 vd355, X ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 paramod: (20332) {G1,W7,D3,L1,V1,M1} { ! geq( vplus( X, vd356 ), vplus(
% 3.31/3.74 vd355, X ) ) }.
% 3.31/3.74 parent0[0]: (41) {G0,W7,D3,L1,V2,M1} I { vplus( Y, X ) = vplus( X, Y ) }.
% 3.31/3.74 parent1[0; 2]: (17735) {G8,W7,D3,L1,V1,M1} R(727,373) { ! geq( vplus( vd356
% 3.31/3.74 , X ), vplus( vd355, X ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := vd356
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (18263) {G9,W7,D3,L1,V1,M1} P(41,17735) { ! geq( vplus( X,
% 3.31/3.74 vd356 ), vplus( vd355, X ) ) }.
% 3.31/3.74 parent0: (20332) {G1,W7,D3,L1,V1,M1} { ! geq( vplus( X, vd356 ), vplus(
% 3.31/3.74 vd355, X ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20336) {G2,W7,D3,L1,V1,M1} { less( vplus( X, vd356 ), vplus(
% 3.31/3.74 vd355, X ) ) }.
% 3.31/3.74 parent0[0]: (18263) {G9,W7,D3,L1,V1,M1} P(41,17735) { ! geq( vplus( X,
% 3.31/3.74 vd356 ), vplus( vd355, X ) ) }.
% 3.31/3.74 parent1[1]: (749) {G1,W6,D2,L2,V2,M2} R(28,24);r(25) { less( X, Y ), geq( X
% 3.31/3.74 , Y ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := vplus( X, vd356 )
% 3.31/3.74 Y := vplus( vd355, X )
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (18299) {G10,W7,D3,L1,V1,M1} R(18263,749) { less( vplus( X,
% 3.31/3.74 vd356 ), vplus( vd355, X ) ) }.
% 3.31/3.74 parent0: (20336) {G2,W7,D3,L1,V1,M1} { less( vplus( X, vd356 ), vplus(
% 3.31/3.74 vd355, X ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 paramod: (20338) {G1,W7,D3,L1,V1,M1} { less( vplus( X, vd356 ), vplus( X,
% 3.31/3.74 vd355 ) ) }.
% 3.31/3.74 parent0[0]: (41) {G0,W7,D3,L1,V2,M1} I { vplus( Y, X ) = vplus( X, Y ) }.
% 3.31/3.74 parent1[0; 4]: (18299) {G10,W7,D3,L1,V1,M1} R(18263,749) { less( vplus( X,
% 3.31/3.74 vd356 ), vplus( vd355, X ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 Y := vd355
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (18388) {G11,W7,D3,L1,V1,M1} P(41,18299) { less( vplus( X,
% 3.31/3.74 vd356 ), vplus( X, vd355 ) ) }.
% 3.31/3.74 parent0: (20338) {G1,W7,D3,L1,V1,M1} { less( vplus( X, vd356 ), vplus( X,
% 3.31/3.74 vd355 ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 X := X
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 0 ==> 0
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 resolution: (20341) {G10,W0,D0,L0,V0,M0} { }.
% 3.31/3.74 parent0[0]: (13908) {G9,W7,D3,L1,V0,M1} S(199);d(3805) { ! less( vplus(
% 3.31/3.74 vd353, vd356 ), vplus( vd353, vd355 ) ) }.
% 3.31/3.74 parent1[0]: (18388) {G11,W7,D3,L1,V1,M1} P(41,18299) { less( vplus( X,
% 3.31/3.74 vd356 ), vplus( X, vd355 ) ) }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 substitution1:
% 3.31/3.74 X := vd353
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 subsumption: (20125) {G12,W0,D0,L0,V0,M0} S(13908);r(18388) { }.
% 3.31/3.74 parent0: (20341) {G10,W0,D0,L0,V0,M0} { }.
% 3.31/3.74 substitution0:
% 3.31/3.74 end
% 3.31/3.74 permutation0:
% 3.31/3.74 end
% 3.31/3.74
% 3.31/3.74 Proof check complete!
% 3.31/3.74
% 3.31/3.74 Memory use:
% 3.31/3.74
% 3.31/3.74 space for terms: 266375
% 3.31/3.74 space for clauses: 912455
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 clauses generated: 86430
% 3.31/3.74 clauses kept: 20126
% 3.31/3.74 clauses selected: 683
% 3.31/3.74 clauses deleted: 360
% 3.31/3.74 clauses inuse deleted: 36
% 3.31/3.74
% 3.31/3.74 subsentry: 789934
% 3.31/3.74 literals s-matched: 507110
% 3.31/3.74 literals matched: 505577
% 3.31/3.74 full subsumption: 291770
% 3.31/3.74
% 3.31/3.74 checksum: -1460956288
% 3.31/3.74
% 3.31/3.74
% 3.31/3.74 Bliksem ended
%------------------------------------------------------------------------------